Question

find the sum of -2 5/10 and -5 4/15. then in two or more complete sentences explain the steps you used to add the mixed number

Answer 1

First, we need to transform the mixed numbers into fractions as follows:

$-A\frac{b}{c}=-\frac{(A\cdot c+b)}{c}$

Then:

$\begin{gathered} -2\frac{5}{10}=-\frac{(2\cdot10+5)}{10}=-\frac{25}{10} \\ -5\frac{4}{15}=-\frac{(5\cdot15+4)}{15}=-\frac{79}{15} \end{gathered}$

Now, we can sum both fractions as follows:

$\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d+b\cdot c}{b\cdot d}$

Then, the sum of -25/10 and -79/15 is:

$\frac{-25}{10}+\frac{-79}{15}=\frac{-25(15)+10(-79)}{10\cdot15}=\frac{-1165}{150}=\frac{-233}{30}$

Therefore, the answer is -233/30

Answer: -233/30